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Finding the Fourth Proportional to 455,335.29, 681,311.39 and 286,063.11

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Solution

The fourth proportional to 455,335.29, 681,311.39 and 286,063.11 is: 428,031.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,335.29 : 681,311.39 = 286,063.11 : x
  2. Step 2: Convert to fraction form
    455,335.29/681,311.39 = 286,063.11/x
  3. Step 3: Cross multiply
    455,335.29x = 681,311.39 × 286,063.11
  4. Step 4: Simplify right side
    455,335.29x = 194,898,053,671.51
  5. Step 5: Solve for x
    x = 194,898,053,671.51/455,335.29
  6. Step 6: Final answer
    x = 428,031.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.